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Finding the Fourth Proportional to 11,700.03, 17,546.10 and 3,800.46

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Solution

The fourth proportional to 11,700.03, 17,546.10 and 3,800.46 is: 5,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.03 : 17,546.10 = 3,800.46 : x
  2. Step 2: Convert to fraction form
    11,700.03/17,546.10 = 3,800.46/x
  3. Step 3: Cross multiply
    11,700.03x = 17,546.10 × 3,800.46
  4. Step 4: Simplify right side
    11,700.03x = 66,683,251.21
  5. Step 5: Solve for x
    x = 66,683,251.21/11,700.03
  6. Step 6: Final answer
    x = 5,699.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.